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: Exercise 3 3 15 Prove That Every Set Of More Than Three Vectors In R Is A Dependent Set Hint Consider The 3 X N Matr 1 (16.45 KiB) Viewed 25 times

: Exercise 3 3 15 Prove That Every Set Of More Than Three Vectors In R Is A Dependent Set Hint Consider The 3 X N Matr 2 (16.45 KiB) Viewed 25 times

Exercise 3.3.15. Prove that every set of more than three vectors in R is a dependent set. (Hint: Consider the 3 x n matrix A with the given vectors as columns and apply Theorem 2.2.1 on page 55 to the equation As =0.)